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Finding the Fourth Proportional to 3,698.13, 5,547.16 and 1,065.70

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Solution

The fourth proportional to 3,698.13, 5,547.16 and 1,065.70 is: 1,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.13 : 5,547.16 = 1,065.70 : x
  2. Step 2: Convert to fraction form
    3,698.13/5,547.16 = 1,065.70/x
  3. Step 3: Cross multiply
    3,698.13x = 5,547.16 × 1,065.70
  4. Step 4: Simplify right side
    3,698.13x = 5,911,608.41
  5. Step 5: Solve for x
    x = 5,911,608.41/3,698.13
  6. Step 6: Final answer
    x = 1,598.54

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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.