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Finding the Fourth Proportional to 3,393.16, 5,088.98 and 1,312.47

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Solution

The fourth proportional to 3,393.16, 5,088.98 and 1,312.47 is: 1,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.16 : 5,088.98 = 1,312.47 : x
  2. Step 2: Convert to fraction form
    3,393.16/5,088.98 = 1,312.47/x
  3. Step 3: Cross multiply
    3,393.16x = 5,088.98 × 1,312.47
  4. Step 4: Simplify right side
    3,393.16x = 6,679,136.86
  5. Step 5: Solve for x
    x = 6,679,136.86/3,393.16
  6. Step 6: Final answer
    x = 1,968.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.