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Finding the Fourth Proportional to 5,780.95, 7,970.27 and 4,717.62

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Solution

The fourth proportional to 5,780.95, 7,970.27 and 4,717.62 is: 6,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.95 : 7,970.27 = 4,717.62 : x
  2. Step 2: Convert to fraction form
    5,780.95/7,970.27 = 4,717.62/x
  3. Step 3: Cross multiply
    5,780.95x = 7,970.27 × 4,717.62
  4. Step 4: Simplify right side
    5,780.95x = 37,600,681.57
  5. Step 5: Solve for x
    x = 37,600,681.57/5,780.95
  6. Step 6: Final answer
    x = 6,504.24

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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.