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Finding the Fourth Proportional to 4,492, 6,738 and 1,569.52

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Solution

The fourth proportional to 4,492, 6,738 and 1,569.52 is: 2,354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492 : 6,738 = 1,569.52 : x
  2. Step 2: Convert to fraction form
    4,492/6,738 = 1,569.52/x
  3. Step 3: Cross multiply
    4,492x = 6,738 × 1,569.52
  4. Step 4: Simplify right side
    4,492x = 10,575,425.76
  5. Step 5: Solve for x
    x = 10,575,425.76/4,492
  6. Step 6: Final answer
    x = 2,354.28

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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.