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Finding the Fourth Proportional to 4,547.61, 6,821.10 and 1,215.60

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Solution

The fourth proportional to 4,547.61, 6,821.10 and 1,215.60 is: 1,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.61 : 6,821.10 = 1,215.60 : x
  2. Step 2: Convert to fraction form
    4,547.61/6,821.10 = 1,215.60/x
  3. Step 3: Cross multiply
    4,547.61x = 6,821.10 × 1,215.60
  4. Step 4: Simplify right side
    4,547.61x = 8,291,729.16
  5. Step 5: Solve for x
    x = 8,291,729.16/4,547.61
  6. Step 6: Final answer
    x = 1,823.32

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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.