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Finding the Fourth Proportional to 2,572.35, 3,547.36 and 2,174.02

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Solution

The fourth proportional to 2,572.35, 3,547.36 and 2,174.02 is: 2,998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.35 : 3,547.36 = 2,174.02 : x
  2. Step 2: Convert to fraction form
    2,572.35/3,547.36 = 2,174.02/x
  3. Step 3: Cross multiply
    2,572.35x = 3,547.36 × 2,174.02
  4. Step 4: Simplify right side
    2,572.35x = 7,712,030.59
  5. Step 5: Solve for x
    x = 7,712,030.59/2,572.35
  6. Step 6: Final answer
    x = 2,998.05

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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.