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Finding the Fourth Proportional to 4,758.96, 6,569.16 and 4,260.69

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Solution

The fourth proportional to 4,758.96, 6,569.16 and 4,260.69 is: 5,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.96 : 6,569.16 = 4,260.69 : x
  2. Step 2: Convert to fraction form
    4,758.96/6,569.16 = 4,260.69/x
  3. Step 3: Cross multiply
    4,758.96x = 6,569.16 × 4,260.69
  4. Step 4: Simplify right side
    4,758.96x = 27,989,154.32
  5. Step 5: Solve for x
    x = 27,989,154.32/4,758.96
  6. Step 6: Final answer
    x = 5,881.36

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