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Finding the Fourth Proportional to 4,498.31, 6,207.40 and 2,509.00

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Solution

The fourth proportional to 4,498.31, 6,207.40 and 2,509.00 is: 3,462.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.31 : 6,207.40 = 2,509.00 : x
  2. Step 2: Convert to fraction form
    4,498.31/6,207.40 = 2,509.00/x
  3. Step 3: Cross multiply
    4,498.31x = 6,207.40 × 2,509.00
  4. Step 4: Simplify right side
    4,498.31x = 15,574,344.81
  5. Step 5: Solve for x
    x = 15,574,344.81/4,498.31
  6. Step 6: Final answer
    x = 3,462.27

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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.