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Finding the Fourth Proportional to 3,547.35, 5,320.36 and 1,048

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Solution

The fourth proportional to 3,547.35, 5,320.36 and 1,048 is: 1,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.35 : 5,320.36 = 1,048 : x
  2. Step 2: Convert to fraction form
    3,547.35/5,320.36 = 1,048/x
  3. Step 3: Cross multiply
    3,547.35x = 5,320.36 × 1,048
  4. Step 4: Simplify right side
    3,547.35x = 5,575,737.28
  5. Step 5: Solve for x
    x = 5,575,737.28/3,547.35
  6. Step 6: Final answer
    x = 1,571.80

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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.