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Finding the Fourth Proportional to 4,709.34, 6,498.87 and 2,585.01

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Solution

The fourth proportional to 4,709.34, 6,498.87 and 2,585.01 is: 3,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.34 : 6,498.87 = 2,585.01 : x
  2. Step 2: Convert to fraction form
    4,709.34/6,498.87 = 2,585.01/x
  3. Step 3: Cross multiply
    4,709.34x = 6,498.87 × 2,585.01
  4. Step 4: Simplify right side
    4,709.34x = 16,799,643.94
  5. Step 5: Solve for x
    x = 16,799,643.94/4,709.34
  6. Step 6: Final answer
    x = 3,567.30

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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.