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Finding the Fourth Proportional to 4,335.87, 6,502.10 and 1,561.58

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Solution

The fourth proportional to 4,335.87, 6,502.10 and 1,561.58 is: 2,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.87 : 6,502.10 = 1,561.58 : x
  2. Step 2: Convert to fraction form
    4,335.87/6,502.10 = 1,561.58/x
  3. Step 3: Cross multiply
    4,335.87x = 6,502.10 × 1,561.58
  4. Step 4: Simplify right side
    4,335.87x = 10,153,533.38
  5. Step 5: Solve for x
    x = 10,153,533.38/4,335.87
  6. Step 6: Final answer
    x = 2,341.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.