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Finding the Fourth Proportional to 6,068.40, 9,038.82 and 5,784

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Solution

The fourth proportional to 6,068.40, 9,038.82 and 5,784 is: 8,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,068.40 : 9,038.82 = 5,784 : x
  2. Step 2: Convert to fraction form
    6,068.40/9,038.82 = 5,784/x
  3. Step 3: Cross multiply
    6,068.40x = 9,038.82 × 5,784
  4. Step 4: Simplify right side
    6,068.40x = 52,280,534.88
  5. Step 5: Solve for x
    x = 52,280,534.88/6,068.40
  6. Step 6: Final answer
    x = 8,615.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.