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Finding the Fourth Proportional to 6,064.96, 8,368.25 and 3,411.40

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Solution

The fourth proportional to 6,064.96, 8,368.25 and 3,411.40 is: 4,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.96 : 8,368.25 = 3,411.40 : x
  2. Step 2: Convert to fraction form
    6,064.96/8,368.25 = 3,411.40/x
  3. Step 3: Cross multiply
    6,064.96x = 8,368.25 × 3,411.40
  4. Step 4: Simplify right side
    6,064.96x = 28,547,435.66
  5. Step 5: Solve for x
    x = 28,547,435.66/6,064.96
  6. Step 6: Final answer
    x = 4,706.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.