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Finding the Fourth Proportional to 4,482.51, 6,185.97 and 2,466

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Solution

The fourth proportional to 4,482.51, 6,185.97 and 2,466 is: 3,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.51 : 6,185.97 = 2,466 : x
  2. Step 2: Convert to fraction form
    4,482.51/6,185.97 = 2,466/x
  3. Step 3: Cross multiply
    4,482.51x = 6,185.97 × 2,466
  4. Step 4: Simplify right side
    4,482.51x = 15,254,602.02
  5. Step 5: Solve for x
    x = 15,254,602.02/4,482.51
  6. Step 6: Final answer
    x = 3,403.14

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Why These Related Problems?

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