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Finding the Fourth Proportional to 5,774.40, 7,967.28 and 3,417.12

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Solution

The fourth proportional to 5,774.40, 7,967.28 and 3,417.12 is: 4,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.40 : 7,967.28 = 3,417.12 : x
  2. Step 2: Convert to fraction form
    5,774.40/7,967.28 = 3,417.12/x
  3. Step 3: Cross multiply
    5,774.40x = 7,967.28 × 3,417.12
  4. Step 4: Simplify right side
    5,774.40x = 27,225,151.83
  5. Step 5: Solve for x
    x = 27,225,151.83/5,774.40
  6. Step 6: Final answer
    x = 4,714.80

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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.