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Finding the Fourth Proportional to 5,803.48, 8,002.38 and 4,314.16

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Solution

The fourth proportional to 5,803.48, 8,002.38 and 4,314.16 is: 5,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.48 : 8,002.38 = 4,314.16 : x
  2. Step 2: Convert to fraction form
    5,803.48/8,002.38 = 4,314.16/x
  3. Step 3: Cross multiply
    5,803.48x = 8,002.38 × 4,314.16
  4. Step 4: Simplify right side
    5,803.48x = 34,523,547.70
  5. Step 5: Solve for x
    x = 34,523,547.70/5,803.48
  6. Step 6: Final answer
    x = 5,948.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.