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Finding the Fourth Proportional to 4,332.04, 6,498.05 and 1,410.34

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Solution

The fourth proportional to 4,332.04, 6,498.05 and 1,410.34 is: 2,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.04 : 6,498.05 = 1,410.34 : x
  2. Step 2: Convert to fraction form
    4,332.04/6,498.05 = 1,410.34/x
  3. Step 3: Cross multiply
    4,332.04x = 6,498.05 × 1,410.34
  4. Step 4: Simplify right side
    4,332.04x = 9,164,447.12
  5. Step 5: Solve for x
    x = 9,164,447.12/4,332.04
  6. Step 6: Final answer
    x = 2,115.51

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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.