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Finding the Fourth Proportional to 3,038.48, 4,558.86 and 1,064.30

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Solution

The fourth proportional to 3,038.48, 4,558.86 and 1,064.30 is: 1,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.48 : 4,558.86 = 1,064.30 : x
  2. Step 2: Convert to fraction form
    3,038.48/4,558.86 = 1,064.30/x
  3. Step 3: Cross multiply
    3,038.48x = 4,558.86 × 1,064.30
  4. Step 4: Simplify right side
    3,038.48x = 4,851,994.70
  5. Step 5: Solve for x
    x = 4,851,994.70/3,038.48
  6. Step 6: Final answer
    x = 1,596.85

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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.