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Finding the Fourth Proportional to 3,038.53, 4,557.84 and 1,064.09

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Solution

The fourth proportional to 3,038.53, 4,557.84 and 1,064.09 is: 1,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.53 : 4,557.84 = 1,064.09 : x
  2. Step 2: Convert to fraction form
    3,038.53/4,557.84 = 1,064.09/x
  3. Step 3: Cross multiply
    3,038.53x = 4,557.84 × 1,064.09
  4. Step 4: Simplify right side
    3,038.53x = 4,849,929.18
  5. Step 5: Solve for x
    x = 4,849,929.18/3,038.53
  6. Step 6: Final answer
    x = 1,596.14

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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.