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Finding the Fourth Proportional to 5,703.51, 7,870.77 and 3,465.48

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Solution

The fourth proportional to 5,703.51, 7,870.77 and 3,465.48 is: 4,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.51 : 7,870.77 = 3,465.48 : x
  2. Step 2: Convert to fraction form
    5,703.51/7,870.77 = 3,465.48/x
  3. Step 3: Cross multiply
    5,703.51x = 7,870.77 × 3,465.48
  4. Step 4: Simplify right side
    5,703.51x = 27,276,025.53
  5. Step 5: Solve for x
    x = 27,276,025.53/5,703.51
  6. Step 6: Final answer
    x = 4,782.32

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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.