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Finding the Fourth Proportional to 3,468.84, 4,784.28 and 3,070.92

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Solution

The fourth proportional to 3,468.84, 4,784.28 and 3,070.92 is: 4,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.84 : 4,784.28 = 3,070.92 : x
  2. Step 2: Convert to fraction form
    3,468.84/4,784.28 = 3,070.92/x
  3. Step 3: Cross multiply
    3,468.84x = 4,784.28 × 3,070.92
  4. Step 4: Simplify right side
    3,468.84x = 14,692,141.14
  5. Step 5: Solve for x
    x = 14,692,141.14/3,468.84
  6. Step 6: Final answer
    x = 4,235.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.