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Finding the Fourth Proportional to 4,547.84, 6,275.56 and 2,558.35

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Solution

The fourth proportional to 4,547.84, 6,275.56 and 2,558.35 is: 3,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.84 : 6,275.56 = 2,558.35 : x
  2. Step 2: Convert to fraction form
    4,547.84/6,275.56 = 2,558.35/x
  3. Step 3: Cross multiply
    4,547.84x = 6,275.56 × 2,558.35
  4. Step 4: Simplify right side
    4,547.84x = 16,055,047.55
  5. Step 5: Solve for x
    x = 16,055,047.55/4,547.84
  6. Step 6: Final answer
    x = 3,530.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.