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Finding the Fourth Proportional to 5,547.84, 8,322.88 and 2,776.32

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Solution

The fourth proportional to 5,547.84, 8,322.88 and 2,776.32 is: 4,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.84 : 8,322.88 = 2,776.32 : x
  2. Step 2: Convert to fraction form
    5,547.84/8,322.88 = 2,776.32/x
  3. Step 3: Cross multiply
    5,547.84x = 8,322.88 × 2,776.32
  4. Step 4: Simplify right side
    5,547.84x = 23,106,978.20
  5. Step 5: Solve for x
    x = 23,106,978.20/5,547.84
  6. Step 6: Final answer
    x = 4,165.04

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1.5x scale

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.