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Finding the Fourth Proportional to 4,746.04, 6,547.80 and 2,977

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Solution

The fourth proportional to 4,746.04, 6,547.80 and 2,977 is: 4,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.04 : 6,547.80 = 2,977 : x
  2. Step 2: Convert to fraction form
    4,746.04/6,547.80 = 2,977/x
  3. Step 3: Cross multiply
    4,746.04x = 6,547.80 × 2,977
  4. Step 4: Simplify right side
    4,746.04x = 19,492,800.60
  5. Step 5: Solve for x
    x = 19,492,800.60/4,746.04
  6. Step 6: Final answer
    x = 4,107.17

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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.