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Finding the Fourth Proportional to 3,695.66, 5,547.44 and 2,053.58

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Solution

The fourth proportional to 3,695.66, 5,547.44 and 2,053.58 is: 3,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.66 : 5,547.44 = 2,053.58 : x
  2. Step 2: Convert to fraction form
    3,695.66/5,547.44 = 2,053.58/x
  3. Step 3: Cross multiply
    3,695.66x = 5,547.44 × 2,053.58
  4. Step 4: Simplify right side
    3,695.66x = 11,392,111.84
  5. Step 5: Solve for x
    x = 11,392,111.84/3,695.66
  6. Step 6: Final answer
    x = 3,082.56

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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.