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Finding the Fourth Proportional to 4,275.41, 6,411.58 and 1,810.40

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Solution

The fourth proportional to 4,275.41, 6,411.58 and 1,810.40 is: 2,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.41 : 6,411.58 = 1,810.40 : x
  2. Step 2: Convert to fraction form
    4,275.41/6,411.58 = 1,810.40/x
  3. Step 3: Cross multiply
    4,275.41x = 6,411.58 × 1,810.40
  4. Step 4: Simplify right side
    4,275.41x = 11,607,535.93
  5. Step 5: Solve for x
    x = 11,607,535.93/4,275.41
  6. Step 6: Final answer
    x = 2,714.95

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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.