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Finding the Fourth Proportional to 4,643.49, 6,966.97 and 1,870.95

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Solution

The fourth proportional to 4,643.49, 6,966.97 and 1,870.95 is: 2,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.49 : 6,966.97 = 1,870.95 : x
  2. Step 2: Convert to fraction form
    4,643.49/6,966.97 = 1,870.95/x
  3. Step 3: Cross multiply
    4,643.49x = 6,966.97 × 1,870.95
  4. Step 4: Simplify right side
    4,643.49x = 13,034,863.58
  5. Step 5: Solve for x
    x = 13,034,863.58/4,643.49
  6. Step 6: Final answer
    x = 2,807.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.