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Finding the Fourth Proportional to 5,048.34, 6,970.17 and 3,160.74

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Solution

The fourth proportional to 5,048.34, 6,970.17 and 3,160.74 is: 4,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.34 : 6,970.17 = 3,160.74 : x
  2. Step 2: Convert to fraction form
    5,048.34/6,970.17 = 3,160.74/x
  3. Step 3: Cross multiply
    5,048.34x = 6,970.17 × 3,160.74
  4. Step 4: Simplify right side
    5,048.34x = 22,030,895.13
  5. Step 5: Solve for x
    x = 22,030,895.13/5,048.34
  6. Step 6: Final answer
    x = 4,363.99

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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.