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Finding the Fourth Proportional to 3,477.60, 4,703.40 and 3,477.60

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Solution

The fourth proportional to 3,477.60, 4,703.40 and 3,477.60 is: 4,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.60 : 4,703.40 = 3,477.60 : x
  2. Step 2: Convert to fraction form
    3,477.60/4,703.40 = 3,477.60/x
  3. Step 3: Cross multiply
    3,477.60x = 4,703.40 × 3,477.60
  4. Step 4: Simplify right side
    3,477.60x = 16,356,543.84
  5. Step 5: Solve for x
    x = 16,356,543.84/3,477.60
  6. Step 6: Final answer
    x = 4,703.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.