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Finding the Fourth Proportional to 4,547.74, 6,822.03 and 1,774.63

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Solution

The fourth proportional to 4,547.74, 6,822.03 and 1,774.63 is: 2,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.74 : 6,822.03 = 1,774.63 : x
  2. Step 2: Convert to fraction form
    4,547.74/6,822.03 = 1,774.63/x
  3. Step 3: Cross multiply
    4,547.74x = 6,822.03 × 1,774.63
  4. Step 4: Simplify right side
    4,547.74x = 12,106,579.10
  5. Step 5: Solve for x
    x = 12,106,579.10/4,547.74
  6. Step 6: Final answer
    x = 2,662.11

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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.