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Finding the Fourth Proportional to 5,368, 7,408 and 3,010.16

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Solution

The fourth proportional to 5,368, 7,408 and 3,010.16 is: 4,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368 : 7,408 = 3,010.16 : x
  2. Step 2: Convert to fraction form
    5,368/7,408 = 3,010.16/x
  3. Step 3: Cross multiply
    5,368x = 7,408 × 3,010.16
  4. Step 4: Simplify right side
    5,368x = 22,299,265.28
  5. Step 5: Solve for x
    x = 22,299,265.28/5,368
  6. Step 6: Final answer
    x = 4,154.11

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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.